The talk will be based on my recent preprint with Yoel Groman. I will start by introducing the question of locality for relative (and truncated relative) symplectic cohomologies. Then I will state our main result which involves the notion of a symplectic manifold being geometrically of finite type, e.g. cone completion of a symplectic manifold with convex boundary. I will end with examples coming from singular Lagrangian torus fibrations over complete bases and briefly mention the relevance to mirror symmetry.
